Carleman estimates and boundedness of associated multiplier operators

Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee

Let $P(D)$ be the Laplacian $\Delta ,$ or the wave operator $\square$. The following type of Carleman estimate is known to be true on a certain range of $p,q$: \[ \|e^{v\cdot x}u\|_{L^q(…